Precision $B^*B\pi$ coupling from three-flavor lattice QCD

TL;DR

This paper precisely determines the $B^*B\pi$ coupling in three-flavor lattice QCD, reducing systematic uncertainties and providing new insights into low-energy heavy meson interactions.

Contribution

It presents the first high-precision lattice QCD calculation of the $B^*B\pi$ coupling with reduced chiral extrapolation uncertainties.

Findings

Weak dependence on lattice spacing observed.

Significantly reduced systematic uncertainty from chiral extrapolation.

Provides a precise value for the $B^*B\pi$ coupling.

Abstract

We consider three-flavor QCD and perform a determination of the low-energy coupling $\hat{g}_\chi$ of SU(2) Heavy Meson Chiral Perturbation Theory. It is the $B^*B\pi$ coupling in the limit of static heavy and chiral light quarks and has not been determined with precision thus far. The calculation is performed on a large set of the $2+1$ flavor CLS ensembles with pion masses from 420 MeV down to 130 MeV. This allows us to significantly reduce the systematic uncertainty from the chiral extrapolation compared to previous works. Only a weak dependence on the lattice spacing is visible in our results.